DLMF:1.12.E4 (Q427): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10854 / rank
 
Normal rank
Property / Symbols used: Q10854 / qualifier
 
Defining formula:

B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}

B_{n}
Property / Symbols used: Q10854 / qualifier
 
xml-id: C1.S12.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q10855 / rank
 
Normal rank
Property / Symbols used: Q10855 / qualifier
 
Defining formula:

C n ⁢ ( w ) subscript 𝐶 𝑛 𝑤 {\displaystyle{\displaystyle C_{n}(w)}}

C_{n}(w)
Property / Symbols used: Q10855 / qualifier
 
xml-id: C1.S12.XMD6.m1dec

Latest revision as of 16:15, 1 January 2020

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DLMF:1.12.E4
No description defined

    Statements

    Defining formula
    C n = b 0 + a 1 b 1 + a 2 b 2 + ⋯ a n b n = A n B n . subscript 𝐶 𝑛 subscript 𝑏 0 continued-fraction subscript 𝑎 1 subscript 𝑏 1 continued-fraction subscript 𝑎 2 subscript 𝑏 2 ⋯ continued-fraction subscript 𝑎 𝑛 subscript 𝑏 𝑛 subscript 𝐴 𝑛 subscript 𝐵 𝑛 {\displaystyle{\displaystyle C_{n}=b_{0}+\cfrac{a_{1}}{b_{1}+\cfrac{a_{2}}{b_{% 2}+\cdots\cfrac{a_{n}}{b_{n}}}}=\frac{A_{n}}{B_{n}}.}}
    0 references
    DLMF id
    DLMF:1.12.E4
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1adec
    0 references
    Q10853
    Defining formula
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C1.S12.XMD3.m1dec
    0 references
    Q10854
    Defining formula
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C1.S12.XMD4.m1dec
    0 references
    Q10855
    Defining formula
    C n ⁢ ( w ) subscript 𝐶 𝑛 𝑤 {\displaystyle{\displaystyle C_{n}(w)}}
    xml-id
    C1.S12.XMD6.m1dec
    0 references
     
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